title: On identification of the number of best treatments using the Newman-Keuls test.
abstract: In this paper, we provide a stochastic ordering of the Studentized range statistics under a balanced one-way ANOVA model. Based on this result we show that, when restricted to the multiple comparisons with the best, the Newman-Keuls (NK) procedure strongly controls experimentwise error rate for a sequence of null hypotheses regarding the number of largest treatment means. In other words, the NK procedure provides an upper confidence bound for the number of best treatments.
authors.affiliation: Division of Biostatistics, University of Florida, Gainesville, FL 32610, USA. samwu@biostat.ufl.edu
authors.forename: Samuel S
authors.initials: SS
authors.lastname: Wu
authors.forename: Weizhen
authors.initials: W
authors.lastname: Wang
authors.forename: David H
authors.initials: DH
authors.lastname: Annis
mesh_terms: D000704:Analysis of Variance; D001699:Biometry / Q000379:methods*; D003924:Diabetes Mellitus, Type 2 / Q000188:drug therapy; D004305:Dose-Response Relationship, Drug; D006801:Humans; D007004:Hypoglycemic Agents / Q000008:administration & dosage; D015233:Models, Statistical; D000077205:Pioglitazone; D013269:Stochastic Processes; D045162:Thiazolidinediones / Q000008:administration & dosage; D016896:Treatment Outcome
chemical_list: D007004:Hypoglycemic Agents; D045162:Thiazolidinediones; D000077205:Pioglitazone